The best \(L^ 2\)-approximation by finite sums of functions with separable variables

DOI10.1007/BF01835707zbMath0759.41027OpenAlexW1998279035MaRDI QIDQ1198199

Jaromir Šimša

Publication date: 16 January 1993

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137468

zbMATH Keywords

Hilbert-Schmidt decomposition theorem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Best approximation, Chebyshev systems (41A50) Integral operators (45P05) Approximation by other special function classes (41A30)

Related Items (8)

Rank Bounds for Approximating Gaussian Densities in the Tensor-Train Format ⋮ On the method of near equations ⋮ Dynamically Orthogonal Runge–Kutta Schemes with Perturbative Retractions for the Dynamical Low-Rank Approximation ⋮ A new method for reconstruction of cross-sections using Tucker decomposition ⋮ Analysis of tensor approximation schemes for continuous functions ⋮ A reduced informationally complete set in the \(C^*\)-algebra generated by phase space fuzzy localization operators ⋮ Adaptive cross approximation of multivariate functions ⋮ Spectral Tensor-Train Decomposition

Cites Work

• Finite sums of products of functions in single variables
• Sums of products of functions of x times functions of y
• Decomposable functions of several variables
• Decomposition of smooth functions of two multidimensional variables
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